Сделаем замену: пусть (x-3)² = t, тогда:
t² -5t - 14 = 0
D = 25 + 56 = 81 = 9²
t₁ =
t₂ =
1) (x - 3)² = 7
x² - 6x + 9 - 7 = 0
x² - 6x + 2 = 0
D = 36 - 8 = 28 = 2√7
x₁ = 3 + √7
x₂ = 3 - √7
2) (x - 3)² = -2
x² - 6x + 9 + 2 = 0
x² - 6x + 11 = 0
D = 36 - 44 = ∅
8у-7у+142=51
у=51-142
у=-91
6х+1-3+2х=14
8х=14-1+3
8х=16
х=16:8
х=2
18х-6х+4=-5х-3
18х-6х+5х=-4-3
17х=-7
х=-7/17
2х+6-3х-6=5-4х-4
2х-3х+4х=5-4-6+6
3х=1
х=1/3
7,2х-3-1,3х=5,9х-3
7,2х-1,3х-5,9х=3-3
0=0
<span> a/a₂+ab: a/a₂-b₂ =одна дробь <u>a</u>/a<u>(a+b)</u>*другая дробь (a-b)*<u>(a+b)</u>/<u>а</u></span>
<span><u>сократили </u>=</span>
<span><u>
</u>=а-b/а=-в</span>
(x-5)(x-2)-(x+1)(x-4)=6
x²-2x-5x+10-(x²-4x+x-4)=6
x²-7x+10-x²+3x+4-6=0
-4x+8=0
-4x=-8
x=2